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Finding the Fourth Proportional to 1,148.74, 1,723.14 and 455.26

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Solution

The fourth proportional to 1,148.74, 1,723.14 and 455.26 is: 682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.74 : 1,723.14 = 455.26 : x
  2. Step 2: Convert to fraction form
    1,148.74/1,723.14 = 455.26/x
  3. Step 3: Cross multiply
    1,148.74x = 1,723.14 × 455.26
  4. Step 4: Simplify right side
    1,148.74x = 784,476.72
  5. Step 5: Solve for x
    x = 784,476.72/1,148.74
  6. Step 6: Final answer
    x = 682.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.